GCF of 4000/528, 5792/6652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4000/528, 5792/6652 i.e 32/878064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4000/528, 5792/6652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4000/528,5792/6652?
Given fractions are 4000/528,5792/6652
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4000/528,5792/6652, numerators are 4000,5792
Denominators are 528,6652
The GCF of 4000,5792 is 32 .
LCM of 528,6652 is 878064.
The greatest common factor of 4000/528,5792/6652 = [GCF of 4000,5792]/[LCM of 528,6652]= 32/878064
Therefore, the GCF of 4000/528,5792/6652 is 32/878064.
To find the highest common factor of 4000,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 4000,5792 is 32.
Lets's calculate GCF of 4000,5792
| 2 | 4000, 5792 |
| 2 | 2000, 2896 |
| 2 | 1000, 1448 |
| 2 | 500, 724 |
| 2 | 250, 362 |
| 125, 181 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 4000,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 4000,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 4000,5792 is 32.
Lets's calculate LCM of 528,6652
| 2 | 528, 6652 |
| 2 | 264, 3326 |
| 132, 1663 |
∴ So the LCM of the given numbers is 2 x 2 x 132 x 1663 = 878064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/878064
Therefore, the GCF of Fractions 4000/528,5792/6652 is 32/878064
Least Common Multiple of 528,6652 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 528,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,6652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(528,6652) x common factors =4 x 1 = 4
LCM(528,6652) = ( 528 × 6652 ) / 4
LCM(528,6652) = 3512256 / 4
LCM(528,6652) = 878064
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FAQs on GCF of Fractions of 4000/528, 5792/6652
1. What is the HCF of 4000,5792?
The HCF of 4000,5792 is 32
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4000/528, 5792/6652?
Answer: GCF of Numerators as per given numbers 4000/528, 5792/6652 is
GCF of Numerators i.e. for 4000,5792 is 32
LCM of denominators i.e. for 528,6652 is 878064.
Thus, GCF of Fractions is 32/878064.Finally, GCF of Fractions for 4000/528, 5792/6652 is 32/878064.